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Finding the Fourth Proportional to 7,233.53, 10,851.87 and 3,077.09

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Solution

The fourth proportional to 7,233.53, 10,851.87 and 3,077.09 is: 4,616.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,233.53 : 10,851.87 = 3,077.09 : x
  2. Step 2: Convert to fraction form
    7,233.53/10,851.87 = 3,077.09/x
  3. Step 3: Cross multiply
    7,233.53x = 10,851.87 × 3,077.09
  4. Step 4: Simplify right side
    7,233.53x = 33,392,178.63
  5. Step 5: Solve for x
    x = 33,392,178.63/7,233.53
  6. Step 6: Final answer
    x = 4,616.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.